Multi-choice stochastic transportation problem involving extreme value distribution
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In this article, the authors considered a multi choice stochastic transportation problem where the supply and demand parameters of the constraints follow extreme value distribution and some of the cost coefficients of the objective function are multi-choice type.About:
This article is published in Applied Mathematical Modelling.The article was published on 2013-02-15 and is currently open access. It has received 85 citations till now. The article focuses on the topics: Stochastic programming & Transportation theory.read more
Citations
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Conic scalarization approach to solve multi-choice multi-objective transportation problem with interval goal
TL;DR: The approaches of revised multi-choice goal programming (RMCGP) and conic scalarizing function into the MOTP are proposed and compared and two numerical examples are presented to show the feasibility and usefulness of the paper.
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Multi-objective two-stage grey transportation problem using utility function with goals
TL;DR: The mathematical model of Two-Stage Multi-Objective Transportation Problem (MOTP) is formulated where the feasibility space is designed based on the selection of goal values and a utility function for selecting the goals of the objective functions is introduced.
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Effect of variable carbon emission in a multi-objective transportation-p-facility location problem under neutrosophic environment
TL;DR: This study delineates the stated formulation in which the total transportation cost, transportation time, and carbon emission cost from existing sites to p-facilities will be minimized and a hybrid approach is improved based on an alternating locate-allocate heuristic and the neutrosophic compromise programming to obtain the non-dominated solution.
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Multi-objective Transportation Problem with Cost Reliability Under Uncertain Environment
TL;DR: The concept of reliability is incorporated in the transportation cost and the effectiveness is justified through the proposed MOTP, and Fuzzy Multi-Choice Goal Programming (FMCGP) is used to select the proper goals to the objective functions of the MOTP.
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Solving a multi-objective transportation problem with nonlinear cost and multi-choice demand
Gurupada Maity,Sankar Kumar Roy +1 more
TL;DR: In this paper, a mathematical model for a transportation problem consisting of a multi-objective environment with nonlinear cost and multi-choice demand was developed. But the objective functions of the proposed transportation problem are non-commensurable and conflict with each other.
References
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Book
Linear Programming and Extensions
TL;DR: This classic book looks at a wealth of examples and develops linear programming methods for their solutions and begins by introducing the basic theory of linear inequalities and describes the powerful simplex method used to solve them.
Book
Introduction to Operations Research
TL;DR: The Simplex Method duality theory and sensitivity analysis for linear programming has been studied extensively in the field of operations research as mentioned in this paper, including the application of queueing theory inventory theory forecasting Markovian decision processes and applications decision analysis simulation.
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Mathematical Methods of Organizing and Planning Production
TL;DR: This work presents an original method, going beyond the limits of classical mathematical analysis, for solving extremal problems and provides an application of mathematical methods to questions of organizing production which merits the serious attention of workers in different branches of industry.